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Finding the Third Proportional to 27.04 and 59.24

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Solution

The third proportional to 27.04 and 59.24 is: 129.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.04 : 59.24 = 59.24 : x
  2. Step 2: Convert to fraction form
    27.04/59.24 = 59.24/x
  3. Step 3: Cross multiply
    27.04x = 59.24 × 59.24
  4. Step 4: Simplify right side
    27.04x = 3,509.17
  5. Step 5: Solve for x
    x = 3,509.17/27.04
  6. Step 6: Final answer
    x = 129.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.